{"id":9332,"date":"2023-03-17T21:31:58","date_gmt":"2023-03-17T10:31:58","guid":{"rendered":"https:\/\/casestudyhelp.com\/sample-questions\/?p=9332"},"modified":"2023-03-17T21:32:56","modified_gmt":"2023-03-17T10:32:56","slug":"for-a-standard-normal-distribution-which-of-the-following-expressions-must-always-be-equal-to-1","status":"publish","type":"post","link":"https:\/\/casestudyhelp.com\/sample-questions\/for-a-standard-normal-distribution-which-of-the-following-expressions-must-always-be-equal-to-1\/","title":{"rendered":"For a standard normal distribution, which of the following expressions must always be equal to 1?"},"content":{"rendered":"<h2><strong>For a standard normal distribution, which of the following expressions must always be equal to 1?<\/strong><\/h2>\n<p>&nbsp;<\/p>\n<p>A) P(z\u2264-a)-P(-a\u2264z\u2264a)+P(z\u2265a)<\/p>\n<p style=\"background: white;\">B) P(z\u2264-a)+P(-a\u2264z\u2264a)-P(z\u2265a)<\/p>\n<p style=\"background: white;\">C) P(z\u2264-a)+P(-a\u2264z\u2264a)+P(z\u2265a)<\/p>\n<p style=\"background: white;\">D) P(z\u2264-a)-P(-a\u2264z\u2264a)+P(z\u2265a)<\/p>\n<p style=\"background: white;\"><span style=\"color: #000000;\"><strong style=\"box-sizing: border-box;\"><span style=\"font-size: 11.5pt; font-family: Arial, 'sans-serif'; font-weight: normal;\"><strong>Answer<\/strong>: &#8211;\u00a0<\/span><\/strong><span style=\"font-size: 11.5pt; font-family: Arial, 'sans-serif';\"><strong>C)<\/strong> P(z\u2264-a)+P(-a\u2264z\u2264a)+P(z\u2265a)<\/span><\/span><\/p>\n<p style=\"background: white;\"><span style=\"font-size: 11.5pt; font-family: 'Arial','sans-serif'; color: #6c6c6c;\">\u00a0<\/span><\/p>\n<p><strong>Explanation<\/strong>: For a standard normal distribution, the expression must always equal 1.<\/p>\n<p style=\"text-align: justify;\">This is because\u00a0P(z\u2264-a)+P(-a\u2264z\u2264a)+P(z\u2265a) represents all the possible values in the total area of any given curve. The entire area of every given curve must always match the standard normal distribution&#8217;s expression formula, which is 1.<\/p>\n<h2 style=\"text-align: center;\"><strong>Looking for the Finest Solution?<\/strong><\/h2>\n<p style=\"text-align: center;\">Find the most reliable answers to all your questions from Every Subject to improve your academic grade.<\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/casestudyhelp.com\/MyOrder.php\" target=\"_blank\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-9029\" src=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2022\/12\/order-now.jpg\" alt=\"Order Now\" width=\"700\" height=\"87\" srcset=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2022\/12\/order-now.jpg 700w, https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2022\/12\/order-now-300x37.jpg 300w\" sizes=\"(max-width: 700px) 100vw, 700px\" \/><\/a><\/p>\n<script type=\"text\/javascript\" charset=\"utf-8\" src=\"http:\/\/w.sharethis.com\/widget\/?wp=6.2.9\"><\/script>","protected":false},"excerpt":{"rendered":"<p>For a standard normal distribution, which of the following expressions must always be equal to 1? &nbsp; A) P(z\u2264-a)-P(-a\u2264z\u2264a)+P(z\u2265a) B) P(z\u2264-a)+P(-a\u2264z\u2264a)-P(z\u2265a) C) P(z\u2264-a)+P(-a\u2264z\u2264a)+P(z\u2265a) D) P(z\u2264-a)-P(-a\u2264z\u2264a)+P(z\u2265a) Answer: &#8211;\u00a0C) P(z\u2264-a)+P(-a\u2264z\u2264a)+P(z\u2265a) \u00a0 Explanation: For a standard normal distribution, the expression must always equal 1. This is because\u00a0P(z\u2264-a)+P(-a\u2264z\u2264a)+P(z\u2265a) represents all the possible values in the total area of any [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[9838],"_links":{"self":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts\/9332"}],"collection":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/comments?post=9332"}],"version-history":[{"count":2,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts\/9332\/revisions"}],"predecessor-version":[{"id":9334,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts\/9332\/revisions\/9334"}],"wp:attachment":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/media?parent=9332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/categories?post=9332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/tags?post=9332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}